Abstract
In this paper, we discuss the inhomogeneous Landau‐Lifshitz equation with nonuniform Gilbert damping term by numerical method. First, we establish a semi‐discrete form for the inhomogeneous Landau‐Lifshitz equation with nonuniform Gilbert damping, which is continuous in time. Then we study the temporal discretization. It proposes a simple projection method to solve our issue. Finally, we prove that it is unconditionally stable.
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